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Finding the Fourth Proportional to 404.32, 558.48 and 287.68

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Solution

The fourth proportional to 404.32, 558.48 and 287.68 is: 397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.32 : 558.48 = 287.68 : x
  2. Step 2: Convert to fraction form
    404.32/558.48 = 287.68/x
  3. Step 3: Cross multiply
    404.32x = 558.48 × 287.68
  4. Step 4: Simplify right side
    404.32x = 160,663.53
  5. Step 5: Solve for x
    x = 160,663.53/404.32
  6. Step 6: Final answer
    x = 397.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.